Abstract
By considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self-canceling “noise” terms where sum of components vanishes in the limit.
Citation
Doğan Kaya. "Explicit solutions of generalized nonlinear Boussinesq equations." J. Appl. Math. 1 (1) 29 - 37, 4 May 2001. https://doi.org/10.1155/S1110757X01000067
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